A Note on Weyl invariance in gravity and the Wess-Zumino functional
arXiv:1607.06326 · doi:10.1016/j.nuclphysb.2016.07.016
Abstract
It is shown that the explicit calculation of the Wess-Zumino functional pertaining to the breaking term of the Weyl symmetry for the Einstein-Hilbert action allows to restore the Weyl symmetry by introducing the extra dilaton field as Goldstone field. Adding the Wess-Zumino counter-term to the Einstein-Hilbert action reproduces the usual Weyl invariant action used in standard literature. Further consideration might confer to the Einstein-Hilbert action a new status.
Contribution to the Special Issue 'Memoriam Raymond Stora', devoted to "Mathematical Foundations of Quantum Field Theory", Nucl. Phys. B
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